Question

A bag contains 14 balls of which x are white. if 6 more white balls are added to the back, the probability of drawing a white ball is 1/2. find the value of x​

Answer 1

Answer:

Probability= (Number of favourable events) / (total number of events).

In the bag, there are 14 balls initially & 6 white balls are added. We assume that no other color balls are added. Total number of balls will be (14 + 6) = 20.

The probability of white balls after adding 6 white balls is 1/2.

1/2= number of white balls / 20.

Number of white balls = (1/2) * 20 = 10.

Earlier the bag had “x”, white balls, after adding 6 white balls there are 10 white balls.

(x+6)=10.

x = 10–6=4.

Answer: Value of x=4.

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Answer 2

10

Step-by-step explanation:

Given,

a bag contains 14 balls of which x are white

if 6 more white balls added to the bag

then the probability of white is 1/2

then, x=?,

the total number of balls =14+6=20

half of 20 is 10

then x is 10